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Anika [276]
3 years ago
13

Olive can read 5 pages of her book in 30 minutes at what unit is olive reading

Mathematics
1 answer:
il63 [147K]3 years ago
8 0

Answer:

1 page per 6 minutes or 10 pages per hour.

Step-by-step explanation:

Since we know that when rates are expressed as quantity of 1 they are called unit rates.

We can represent our problem as unit rate in two ways; either by getting our numerator as 1 or our denominator as 1.

\frac{5 pages}{30 minutes} =\frac{1}{6 minutes}

We know that an hour has 60 minutes. We can get our denominator equal to 60 minutes by multiplying by 2.

\frac{5*2}{30*2}= \frac{10 pages}{60 minutes}

\frac{10 pages}{hour}

Therefore, Olive is either reading at 10 pages per hour or 1 page per 6 minutes.


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You decide to work part-time at a local veterinary hospital. The job pays $9.50 per hour and you work 20 hours per week. Your em
nadezda [96]

Answer:

a. Weekly Gross pay:

= 9.50 * 20

= $190

b. Federal tax withheld:

= 10% * 190

= $19

c. FICA Tax withheld:

= 5.65% * 190

= $10.74

d. State tax withheld:

= 5% * 190

= $9.50

e. Weekly net pay

= Gross pay - taxes

= 190 - 19 - 10.74 - 9.50

= $150.76

f. Percentage withheld for taxes:

= (19 + 10.74 + 9.50) / 190 * 100%

= 20.7%

8 0
2 years ago
A cashier has 26 bills consisting of three times as many ones as fives, one less ten than fives, and the rest twenties. If the v
monitta
Let number of  fives = x then number of ones = 3x  and number of tens = x - 1

so we can create the equation 

x + 3x +  x-1 + y = 26  where y = number of twenties
so
5x + y = 27

also we have the equation 

5x + 3x + 10(x - 1) + 20y = 120

18x + 20y = 130..................................(1)
5x    + y    = 27     multiply  by -20:-
-100x - 20y = -540..............................(2)
Adding equation (1) and (2)
-82x = -410
x  = 5,  that is  5 fives

Now plug x = 5 into equation 1:-
18(5) + 20y = 130
20y =  40
y =  2 ,   that is 2 twenties

So the answer is   there are (3x) = 15 ones , 5  fives, 4 tens and 2 twenties
7 0
3 years ago
Pls help................
Sedaia [141]

Answer:

3 centimeters

Step-by-step explanation:

given ratio is

18 km : 1 cm

Now if km is multiplied by 3, the cm should also be multiplied by 3.

=> 18 x 3 : 1 x 3

=> 54 km : 3 cm

4 0
2 years ago
Read 2 more answers
( I REALLY NEED HELP I WILL GIVE BRILLIANT) If you divide 78 by 34, will the quotient be greater than or less than 34?
Kay [80]
The quotient will be less that 34 because 78 divided by 34 is 2
3 0
3 years ago
Which set of integers is a Pythagorean triple and are side lengths of a right triangle?
Alona [7]
A) 3, 5, 6
c squared = a squared + b squared
6 squared = 5 squared + 3 squared
36 = 25 + 9
36 ≠ 34 (not a right triangle)

b) 13, 12, 5
c squared = a squared + b squared
13 squared = 12 squared + 5 squared
169 = 144 + 25
169 = 169 (is a right triangle)


c) 17, 15, 9
c squared = a squared + b squared
17 squared = 15 squared + 9 squared
289 = 225 + 81
289 ≠ 306 (not a right triangle)


d) 12, 8, 6
c squared = a squared + b squared
12 squared = 8 squared + 6 squared
144 = 64 + 36
144 ≠ 100 (not a right triangle)

hope this helps!!
4 0
3 years ago
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